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Finding the Fourth Proportional to 17,800.09, 24,562.24 and 9,841.03

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Solution

The fourth proportional to 17,800.09, 24,562.24 and 9,841.03 is: 13,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.09 : 24,562.24 = 9,841.03 : x
  2. Step 2: Convert to fraction form
    17,800.09/24,562.24 = 9,841.03/x
  3. Step 3: Cross multiply
    17,800.09x = 24,562.24 × 9,841.03
  4. Step 4: Simplify right side
    17,800.09x = 241,717,740.71
  5. Step 5: Solve for x
    x = 241,717,740.71/17,800.09
  6. Step 6: Final answer
    x = 13,579.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.